The spectrum of an R-homomorphism
1977 ◽
Vol 23
(1)
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pp. 42-45
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Keyword(s):
AbstractLet E be a real Banach space ordered by a closed, normal and generating cone. Suppose also that the order induced on E has the Riesz decomposition property. It is shown that if T:E → E is a positive linear operator with the property that y, z, a ∈ E with a ≧ Ty, Tz implies there is x ∈ E with x ≧ y, z and a ≧ Tx then the approximate point spectrum and spectrum of T are cyclic subsets of the complex plane. That is, if α = |α|γ lies in one of these sets then so does |α|γk for all integers k.
1996 ◽
Vol 39
(4)
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pp. 429-437
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1967 ◽
Vol 18
(1)
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pp. 109-111
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1969 ◽
Vol s2-1
(1)
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pp. 3-10
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2007 ◽
Vol 82
(2)
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pp. 183-207
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2012 ◽
Vol 42
(8)
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pp. 1078-1093
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2001 ◽
Vol 64
(1)
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pp. 81-98
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2000 ◽
Vol 129
(2)
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pp. 539-542
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